An extension property for Banach spaces

• Autorzy: Walden Freedman
• Języki publikacji: EN

Abstrakty

EN

A Banach space X has property (E) if every operator from X into c₀ extends to an operator from X** into c₀; X has property (L) if whenever K ⊆ X is limited in X**, then K is limited in X; X has property (G) if whenever K ⊆ X is Grothendieck in X**, then K is Grothendieck in X. In all of these, we consider X as canonically embedded in X**. We study these properties in connection with other geometric properties, such as the Phillips properties, the Gelfand-Phillips and weak Gelfand-Phillips properties, and the property of being a Grothendieck space.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B03: Isomorphic theory (including renorming) of Banach spaces
• 46B25: Classical Banach spaces in the general theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 91
• Numer: 2
• Strony: 167-182

Daty

wydano

2002

Twórcy

autor

Walden Freedman

• Department of Mathematics, College of Arts and Sciences, Koç University, Rumelifeneri Yolu, Sariyer, Istanbul, Turkey
• Department of Mathematics, Humboldt State University, 1 Harpst Street, Arcata, CA 95521, U.S.A.

Identyfikatory

DOI

10.4064/cm91-2-2